A general multivariate threshold GARCH model with dynamic conditional correlations
We propose a new multivariate DCC-GARCH model that extends existing approaches by admitting multivariate thresholds in conditional volatilities and conditional correlations. Model estimation is numerically feasible in large dimensions and positive semi-definiteness of conditional covariance matrices is naturally ensured by the pure model structure. Conditional thresholds in volatilities and correlations are estimated from the data, together with all other model parameters. We study the performance of our approach in some Monte Carlo simulations, where it is shown that the model is able to fit correctly a GARCH-type dynamics and a complex threshold structure in conditional volatilities and correlations of simulated data. In a real data application to international equity markets, we observe estimated conditional volatilities that are strongly influenced by GARCH-type and multivariate threshold effects. Conditional correlations, instead, are determined by simple threshold structures where no GARCH-type effect could be identified.
|Date of creation:||Jan 2005|
|Date of revision:|
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- Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
- Anderson, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Labys, Paul, 2002.
"Modeling and Forecasting Realized Volatility,"
02-12, Duke University, Department of Economics.
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," Center for Financial Institutions Working Papers 01-01, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," NBER Working Papers 8160, National Bureau of Economic Research, Inc.
- Ledoit, Olivier & Santa-Clara, Pedro & Wolf, Michael, 1999.
"Flexible Multivariate GARCH Modeling With an Application to International Stock Markets,"
University of California at Los Angeles, Anderson Graduate School of Management
qt93s6p8gb, Anderson Graduate School of Management, UCLA.
- Olivier Ledoit & Pedro Santa-Clara & Michael Wolf, 2003. "Flexible Multivariate GARCH Modeling with an Application to International Stock Markets," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 735-747, August.
- Olivier Ledoit & Pedro Santa Clara & Michael Wolf, 2001. "Flexible multivariate GARCH modeling with an application to international stock markets," Economics Working Papers 578, Department of Economics and Business, Universitat Pompeu Fabra.
- Adrian Pagan, 1986.
"Two Stage and Related Estimators and Their Applications,"
Review of Economic Studies,
Oxford University Press, vol. 53(4), pages 517-538.
- Adrian Pagan, 1985. "Two Stage and Related Estimators and Their Applications," Cowles Foundation Discussion Papers 741, Cowles Foundation for Research in Economics, Yale University.
- King, Mervyn A & Wadhwani, Sushil, 1990.
"Transmission of Volatility between Stock Markets,"
Review of Financial Studies,
Society for Financial Studies, vol. 3(1), pages 5-33.
- Bae, Kee-Hong & Andrew Karolyi, G., 1994.
"Good news, bad news and international spillovers of stock return volatility between Japan and the U.S,"
Pacific-Basin Finance Journal,
Elsevier, vol. 2(4), pages 405-438, December.
- Bae, Kee-Hong & Andrew Karolyi, G., 1995. "Good news, band news and international spilovers of stock return volatility between Japan and the U.S," Pacific-Basin Finance Journal, Elsevier, vol. 3(1), pages 144-144, May.
- Engle, Robert F & Ito, Takatoshi & Lin, Wen-Ling, 1990.
"Meteor Showers or Heat Waves? Heteroskedastic Intra-daily Volatility in the Foreign Exchange Market,"
Econometric Society, vol. 58(3), pages 525-42, May.
- Robert F. Engle & Takatoshi Ito & Wen-Ling Lin, 1988. "Meteor Showers or Heat Waves? Heteroskedastic Intra-Daily Volatility in the Foreign Exchange Market," NBER Working Papers 2609, National Bureau of Economic Research, Inc.
- Kim, S.W. & Rogers, J.H., 1993.
"International Stock Price Spillovers and Market Liberalization: Evidence from Korea, Japan, and the United States,"
4-93-7, Pennsylvania State - Department of Economics.
- Kim, Sang W. & Rogers, John H., 1995. "International stock price spillovers and market liberalization: Evidence from Korea, Japan, and the United States," Journal of Empirical Finance, Elsevier, vol. 2(2), pages 117-133, June.
- Sang W. Kim & John H. Rogers, 1995. "International stock price spillovers and market liberalization: evidence from Korea, Japan, and the United States," International Finance Discussion Papers 499, Board of Governors of the Federal Reserve System (U.S.).
- Becker, Kent G. & Finnerty, Joseph E. & Friedman, Joseph, 1995. "Economic news and equity market linkages between the U.S. and U.K," Journal of Banking & Finance, Elsevier, vol. 19(7), pages 1191-1210, October.
- Fabio Trojani & Francesco Audrino, 2006. "Estimating and predicting multivariate volatility thresholds in global stock markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 345-369.
- Hamao, Yasushi & Masulis, Ronald W & Ng, Victor, 1990. "Correlations in Price Changes and Volatility across International Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 281-307.
- Audrino, Francesco, 2006. "Tree-Structured Multiple Regimes in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 338-353, July.
- Ole E. Barndorff-Nielsen & Shephard, 2002.
"Econometric analysis of realized volatility and its use in estimating stochastic volatility models,"
Journal of the Royal Statistical Society Series B,
Royal Statistical Society, vol. 64(2), pages 253-280.
- Ole E. Barndorff-Nielsen & Neil Shephard, 2000. "Econometric analysis of realised volatility and its use in estimating stochastic volatility models," Economics Papers 2001-W4, Economics Group, Nuffield College, University of Oxford, revised 05 Jul 2001.
- Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
- Koutmos, Gregory & Booth, G Geoffrey, 1995. "Asymmetric volatility transmission in international stock markets," Journal of International Money and Finance, Elsevier, vol. 14(6), pages 747-762, December.
- Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier.
- Robert F. Engle & Kevin Sheppard, 2001.
"Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH,"
NBER Working Papers
8554, National Bureau of Economic Research, Inc.
- Engle, Robert F & Sheppard, Kevin K, 2001. "Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH," University of California at San Diego, Economics Working Paper Series qt5s2218dp, Department of Economics, UC San Diego.
- Fulvio Corsi & Francesco Audrino, 2007. "Realized Correlation Tick-by-Tick," University of St. Gallen Department of Economics working paper series 2007 2007-02, Department of Economics, University of St. Gallen.
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